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The freep-algebra generated by a distributive lattice

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References

  1. R. Balbes andA. Horn,Stone lattices, Duke Math. J.37 (1970), 537–546.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Berman and Ph.Dwinger,Finitely generated pseudocomplemented distributive lattices, J. Austral. Math. Soc.19(A) (1975), 238–246.

    Article  MATH  MathSciNet  Google Scholar 

  3. B. A. Davey,Subdirectly irreducible distributive double p-algebras, Algebra Univ.8 (1978), 73–88.

    MATH  MathSciNet  Google Scholar 

  4. G. Grätzer,Lattice Theory: First concepts and distributive lattices, W. H. Freeman, San Francisco, Calif., 1971.

    MATH  Google Scholar 

  5. T. Hecht andT. Katriňák,Free double-Stone algebras, inLattice Theory, Coll. Math. Soc. János Balyai14 (1974), pp. 77–95.

  6. K. Kuratowski,Topology, Vol. 1, Academic Press, New York, 1966.

    Google Scholar 

  7. K. B. Lee,Equational classes of distributive pseudocomplemented lattices, Canad. J. Math.22 (1970), 881–891.

    MATH  MathSciNet  Google Scholar 

  8. E. Michael,Topologies on spaces of subsets, Trans. Amer. Math. Soc.71 (1951), 151–182.

    Article  MathSciNet  Google Scholar 

  9. H. A. Priestley,Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc.2 (1970), 186–190.

    MATH  MathSciNet  Google Scholar 

  10. H. A. Priestley,Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. (3)24 (1972), 507–530.

    MATH  MathSciNet  Google Scholar 

  11. H. A. Priestley,Stone lattices: a topological approach, Fund. Math.84 (1974), 127–143.

    MATH  MathSciNet  Google Scholar 

  12. H. A. Priestley,The construction of spaces dual to pseudocomplemented distributive lattices, Quart. J. Math. Oxford (3)26 (1975), 215–228.

    MATH  MathSciNet  Google Scholar 

  13. A. Urquhart,Free distributive pseudo-complemented lattices, Algebra Univ.3 (1973), 13–15.

    Article  MATH  MathSciNet  Google Scholar 

  14. A. Urquhart,Finite free products of pseudocomplemented distributive lattices, manuscript.

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Authors and Affiliations

  1. La Trobe University, Bundoora, Victoria, Australia

    Brian A. Davey & Moshe S. Goldberg

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  1. Brian A. Davey
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  2. Moshe S. Goldberg
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Davey, B.A., Goldberg, M.S. The freep-algebra generated by a distributive lattice. Algebra Universalis 11, 90–100 (1980). https://doi.org/10.1007/BF02483084

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